Abstract

The results of the Sixtieth William Lowell Putnam Mathematical Competition, held December 4, 1999, follow. They have been determined in accordance with the regulations governing the competition, a contest supported by the William Lowell Putnam Prize Fund for the Promotion of Scholarship, a fund endowed by Mrs. Putnam in memory of her husband. The annual Competition is held under the auspices of the Mathematical Association of America. The first prize, $25,000, was awarded to the Department of Mathematics at the University of Waterloo. The members of the winning team were Sabin Cautis, Donny C. Cheung, and Derek I. E. Kisman; each was awarded a prize of $1000. The second prize, $20,000, was awarded to the Department of Mathematics at Harvard University. The members of the winning team were Michael L. Develin, Ciprian Manolescu, and Alexander H. Saltman; each was awarded a prize of $800. The third prize, $15,000, was awarded to the Department of Mathematics at Duke University. The members of the winning team were Kevin D. Lacker, Carl A. Miller, and Melanie E. Wood; each was awarded a prize of $600. The fourth prize, $10,000, was awarded to the Department of Mathematics at the University of Michigan, Ann Arbor. The members of the winning team were Chetan T. Balwe, Rishi Raj, and Dapeng Zhu; each was awarded a prize of $400. The fifth prize, $5,000, was awarded to the Department of Mathematics at the University of Chicago. The members of the winning team were Matthew T. Gealy, Christopher D. Malon, and Sergey Vasseliev; each was awarded a prize of $200. The six highest ranking individual contestants, in alphabetical order, were Sabin Cautis, University of Waterloo; Derek I. E. Kisman, University of Waterloo; Abhinav Kumar, Massachusetts Institute of Technology; Davesh Maulik, Harvard University; Christopher C. Mihelich, Harvard University; and Colin A. Percival, Simon Fraser University. The next eight highest ranking contestants, in alphabetical order, were: John J. Clyde, Duke University; Michael J. Colsher, Duke University; Joel K. Erickson, University of British Columbia; Lukasz Fidkowski, Harvard University; Aram W. Harrow, Massachusetts Institute of Technology; Kevin D. Lacker, Duke University; Ivan G. Petrakiev, Massachusetts Institute of Technology; and Hoeteck Wee, Massachusetts Institute of Technology. The next ten highest ranking contestants, in alphabetical order, were: Jesse A. Goodman, University of British Columbia; Christopher M. Hirata, California Institute of Technology; Stefan L. Hornet, Princeton University; Joel Kamnitzer, University of Waterloo; Yoon-Ho Lee, Harvard University; Radu H. Mihaescu, Princeton University; Rishi Raj, University of Michigan, Ann Arbor; Kaiwen Xu, California Institute of Technology; Wai Ling Yee, University of Waterloo; and Dapeng Zhu, University of Michigan, Ann Arbor.

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